Pith Number

pith:CJHZ2A6P

pith:2024:CJHZ2A6PPX3DJOHUAF363YEH4I

not attested not anchored not stored refs pending

Cosmology and general relativity (GR) in upper secondary school through new targeted teaching materials: a study on student learning and motivation

Alice Gasparini, Andreas Mueller, Florian Stern, Laura Weiss

arxiv:2412.01551 v3 · 2024-12-02 · physics.ed-ph · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CJHZ2A6PPX3DJOHUAF363YEH4I}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T11:23:20.319732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

124f9d03cf7df634b8f40177ede087e22767d7a560fa36305185b671ad29b33a

Aliases

arxiv: 2412.01551 · arxiv_version: 2412.01551v3 · doi: 10.48550/arxiv.2412.01551 · pith_short_12: CJHZ2A6PPX3D · pith_short_16: CJHZ2A6PPX3DJOHU · pith_short_8: CJHZ2A6P

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/CJHZ2A6PPX3DJOHUAF363YEH4I \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 124f9d03cf7df634b8f40177ede087e22767d7a560fa36305185b671ad29b33a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efefef0f5e84c2c0a8b06d5196a19d406636b1ac1cc648cb9f649fc606bb1f81",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.ed-ph",
    "submitted_at": "2024-12-02T14:38:16Z",
    "title_canon_sha256": "c9112f30b2da59b4a0ad7ead3760aee6372ec5a3d985139108f849f20fedad91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.01551",
    "kind": "arxiv",
    "version": 3
  }
}